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Finding the Third Proportional to 822,560 and 1,904,044

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Solution

The third proportional to 822,560 and 1,904,044 is: 4,407,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,560 : 1,904,044 = 1,904,044 : x
  2. Step 2: Convert to fraction form
    822,560/1,904,044 = 1,904,044/x
  3. Step 3: Cross multiply
    822,560x = 1,904,044 × 1,904,044
  4. Step 4: Simplify right side
    822,560x = 3,625,383,553,936
  5. Step 5: Solve for x
    x = 3,625,383,553,936/822,560
  6. Step 6: Final answer
    x = 4,407,439.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.